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12010233120 = 253570935291
BaseRepresentation
bin10110010111101110…
…11001110100100000
31011000000101001112220
423023313121310200
5144044104424440
65303432551040
7603424203624
oct131367316440
934000331486
1012010233120
1151035109a6
1223b2252480
131195308522
1481d123184
154a45e28d0
hex2cbdd9d20

12010233120 has 96 divisors (see below), whose sum is σ = 37886667840. Its totient is φ = 3198120960.

The previous prime is 12010233119. The next prime is 12010233167. The reversal of 12010233120 is 2133201021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12010233120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322675 + ... + 357965.

It is an arithmetic number, because the mean of its divisors is an integer number (394652790).

Almost surely, 212010233120 is an apocalyptic number.

12010233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18943333920).

12010233120 is an abundant number, since it is smaller than the sum of its proper divisors (25876434720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12010233120 is a wasteful number, since it uses less digits than its factorization.

12010233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36018 (or 36010 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12010233120 its reverse (2133201021), we get a palindrome (14143434141).

The spelling of 12010233120 in words is "twelve billion, ten million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 709 1418 2127 2836 3545 4254 5672 7090 8508 10635 11344 14180 17016 21270 22688 28360 34032 35291 42540 56720 68064 70582 85080 105873 113440 141164 170160 176455 211746 282328 340320 352910 423492 529365 564656 705820 846984 1058730 1129312 1411640 1693968 2117460 2823280 3387936 4234920 5646560 8469840 16939680 25021319 50042638 75063957 100085276 125106595 150127914 200170552 250213190 300255828 375319785 400341104 500426380 600511656 750639570 800682208 1000852760 1201023312 1501279140 2001705520 2402046624 3002558280 4003411040 6005116560 12010233120